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Finding the Fourth Proportional to 10,673.66, 16,010.49 and 3,653.76

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Solution

The fourth proportional to 10,673.66, 16,010.49 and 3,653.76 is: 5,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.66 : 16,010.49 = 3,653.76 : x
  2. Step 2: Convert to fraction form
    10,673.66/16,010.49 = 3,653.76/x
  3. Step 3: Cross multiply
    10,673.66x = 16,010.49 × 3,653.76
  4. Step 4: Simplify right side
    10,673.66x = 58,498,487.94
  5. Step 5: Solve for x
    x = 58,498,487.94/10,673.66
  6. Step 6: Final answer
    x = 5,480.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.